Special Right Triangles
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a special right triangle?
Back
A special right triangle is a right triangle with specific angle measures and side length ratios, commonly the 45-45-90 triangle and the 30-60-90 triangle.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What is the side length ratio of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of each leg.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What is the side length ratio of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2, where 1 is the length of the side opposite the 30° angle, √3 is opposite the 60° angle, and 2 is the hypotenuse.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 45-45-90 triangle?
Back
Multiply the length of one leg by √2 to find the hypotenuse.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
How do you find the length of the longer leg in a 30-60-90 triangle?
Back
Multiply the length of the shorter leg (opposite the 30° angle) by √3 to find the longer leg (opposite the 60° angle).
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
If one leg of a 45-45-90 triangle is 5, what is the length of the hypotenuse?
Back
The hypotenuse is 5√2.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?
Back
The shorter leg is 6.
Tags
CCSS.8.G.B.8
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